[PDF][PDF] MEIXNER d-ORTHOGONAL POLYNOMIALS ARISING FROM su (1, 1)

F BOUZEFFOUR, B HALOUANI, MT GARAYEV - Recall - academia.edu
In this work, we introduce a new family of d-orthogonal polynomials of Meixner type, which
are also a special family of multiple orthogonal polynomials. We show that they are matrix …

Deformed Heisenberg algebra with reflection and d-orthogonal polynomials

F Bouzeffour, H Ben Mansour, A Zaghouani - Czechoslovak Mathematical …, 2017 - Springer
This paper is devoted to the study of matrix elements of irreducible representations of the
enveloping deformed Heisenberg algebra with reflection, motivated by recurrence relations …

Automorphisms of the q-deformed algebra suq(1, 1) and d-Orthogonal polynomials of q-Meixner type

A Zaghouani - Journal of Nonlinear Mathematical Physics, 2016 - Taylor & Francis
Starting from an operator given as a product of q-exponential functions in irreducible
representations of the positive discrete series of the q-deformed algebra suq (1, 1), we …

Cλ-Extended Oscillator Algebra and d-Orthogonal Polynomials

F Bouzeffour, W Jedidi - International Journal of Theoretical Physics, 2021 - Springer
In this paper we first construct an analytic realization of the C λ-extended oscillator algebra
with the help of difference-differential operators. Secondly, we study families of d-orthogonal …

Meixner -Orthogonal Polynomials Arising from

F Bouzeffour, B Halouani, MT Garayev - arXiv preprint arXiv:1804.11171, 2018 - arxiv.org
In this work, we introduce a new family of $ d $-orthogonal polynomials of Meixner type,
which are also a special family of multiple orthogonal polynomials. We show that they are …